A Note on the Convergence of Nonparametric DEA Efficiency Measures

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A Note on the Convergence of Nonparametric DEA Efficiency Measures

Author Info

Kneip, A
Park, B-U
Simar, L

Additional information is available for the following registered author(s):

Leopold Simar

Abstract

Efficiency scores of production units are measured by their distance to an estimated production frontier. Nonparametric DEA estimators are based on a finite sample of observed production unites and radial distances are considered. We investigate the consistency and the speed of convergence of these estimated efficiency scores in the very general setup of multi-output and multi-input case. It is shown that the speed of convergence relies on the smoothness of the unknown frontier and on the number of inputs and of outputs. Furthermore, one has to distinguish between the ouput- and the input-oriented case.

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Paper provided by Catholique de Louvain - Institut de statistique in its series Papers with number 9603.

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Length: 11 pages
Date of creation: 1996
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Handle: RePEc:fth:louvis:9603

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Postal: Universite Catholique de Louvain, Institut de Statistique, Voie du Roman Pays, 34 B-1348 Louvain- La-Neuve, Belgique.

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Keywords: STATISTICS;

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Paper
- KNEIPÊ, Alois & PARKÊ, ByeongÊU. & SIMARÊ, LŽopold, 1996. "A Note on the Convergence of Nonparametric DEA Efficiency Measures," CORE Discussion Papers 1996039, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

Find related papers by JEL classification:
C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Semiparametric and Nonparametric Methods

Cited by:
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Léopold Simar, Paul W. Wilson, 2000. "A general methodology for bootstrapping in non-parametric frontier models," Journal of Applied Statistics, Taylor and Francis Journals, vol. 27(6), pages 779-802, August. [Downloadable!] (restricted)
Other versions:
- Simar, L. & Wilson, P.W., 1998. "A General Methodology for Bootstrapping in Nonparametric Frontier Models," Papers 9811, Catholique de Louvain - Institut de statistique.
SIMAR, LŽopold & WILSON, Paul W., 1998. "Productivity growth in industrialized countries," CORE Discussion Papers 1998036, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
Other versions:
- Simar, L. & Wilson, P.W., 1998. "Productivity Growth in Industrialized Countries," Papers 9810, Catholique de Louvain - Institut de statistique.
Kittelsen, Sverre A.C. & Kjæserud, Guri Galtung & Kvamme, Odd Jarle, 2009. "Errors in Survey Based Quality Evaluation Variables in Efficiency Models of Primary Care Physicians," HERO On line Working Paper Series 2001:12, Oslo University, Health Economics Research Programme. [Downloadable!]
Other versions:
- Kjoeserud,G.G. & Kvamme,O.J. & Kittelsen,S.A.C., 2001. "Errors in survey based quality evaluation variables in efficiency models of primary care physicians," Memorandum 24/2001, Oslo University, Department of Economics. [Downloadable!]
Ferjani, Ali, 2005. "Does Switzerland Have a Productivity Problem?," Agrarwirtschaft und Agrarsoziologie/ Economie et Sociologie Rurales, Swiss Society for Agricultural Economics and Rural Sociology, issue 1. [Downloadable!]
David C. Wheelock & Paul Wilson, 2007. "Non-parametric, unconditional quantile estimation for efficiency analysis with an application to Federal Reserve check processing operations," Working Papers 2005-027, Federal Reserve Bank of St. Louis. [Downloadable!]
Other versions:
- Wheelock, David C. & Wilson, Paul W., 2008. "Non-parametric, unconditional quantile estimation for efficiency analysis with an application to Federal Reserve check processing operations," Journal of Econometrics, Elsevier, vol. 145(1-2), pages 209-225, July. [Downloadable!] (restricted)
Theodoridis, A.M. & Psychoudakis, A. & Christofi, A., 2006. "Data Envelopment Analysis as a Complement to Marginal Analysis," Agricultural Economics Review, Greek Association of Agricultural Economists, vol. 7(2), August. [Downloadable!]
Hallsteinli, Vidar & Kittelsen, Sverre AC & Magnussen, Jon, 2009. "Scale, efficiency and organization in Norwegian psychiatric outpatient clinics for children," HERO On line Working Paper Series 2001:8, Oslo University, Health Economics Research Programme. [Downloadable!]
Kuosmanen, T. & Post, G.T., 2001. "Non-Parametric Tests for Firm Efficiency in Case of Errors-in-Variables," Research Paper ERS-2001-06-F&A Revision_, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus Uni. [Downloadable!]
Kittelsen,S.A.C., 1999. "Monte Carlo simulations of DEA efficiency measures and hypothesis tests," Memorandum 09/1999, Oslo University, Department of Economics. [Downloadable!]
Alois Kneip & Léopold Simar & Paul W. Wilson, 2006. "Asymptotics and Consistent Bootstraps for DEA Estimators in Non-parametric Frontier Models," Bonn Econ Discussion Papers bgse12_2006, University of Bonn, Germany. [Downloadable!]
Other versions:
- Kneip, Alois & Simar, L?opold & Wilson, Paul W., 2008. "Asymptotics And Consistent Bootstraps For Dea Estimators In Nonparametric Frontier Models," Econometric Theory, Cambridge University Press, vol. 24(06), pages 1663-1697, December. [Downloadable!]
David C. Wheelock & Paul Wilson, 2003. "Robust nonparametric estimation of efficiency and technical change in U.S. commercial banking," Working Papers 2003-037, Federal Reserve Bank of St. Louis. [Downloadable!]
Other versions:
- Paul W. Wilson & David C. Wheelock, 2004. "Robust Nonparametric Estimation of Efficiency and Technical Change in U.S. Commercial Banking," Econometric Society 2004 North American Summer Meetings 433, Econometric Society.
David C. Wheelock & Paul W. Wilson, 1995. "Why do banks disappear? The determinants of U.S. bank failures and acquisitions," Working Papers 1995-013, Federal Reserve Bank of St. Louis. [Downloadable!]
Other versions:
- David C. Wheelock & Paul W. Wilson, 2000. "Why do Banks Disappear? The Determinants of U.S. Bank Failures and Acquisitions," The Review of Economics and Statistics, MIT Press, vol. 82(1), pages 127-138, February. [Downloadable!] (restricted)

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